三维边坡拟静力抗震稳定性分析
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摘要
基于滑面正应力修正的三维边坡稳定性分析,采用拟静力的分析方法,建立三向地震作用下边坡的平衡方程,通过求解线性方程组得到安全系数与三向地震作用的函数关系。比较二维与三维拟静力分析方法对安全系数的影响;分别讨论对称滑体与非对称滑体2种情况下,三向地震对安全系数的影响规律;考虑滑体长度、不对称的程度以及土体参数等对安全系数的影响,并计算三向地震作用下的安全系数与仅考虑水平地震作用的安全系数之间的相对误差。结果表明:水平地震作用对安全系数影响最大,竖向地震作用次之,横向地震作用最小;采用三维分析方法更符合实际情况,精度更高。
On the basis of the three-dimensional(3D) slope stability analysis of the modification of normal stresses on 3D slip surface,the solution to the factor of safety of the 3D slope subjected to the 3D earthquake is derived by using the method of pseudo-static analysis.The influences of the two-dimensional(2D) and 3D pseudo-static analysis methodS on factor of safety are compared.The influential law of 3D earthquake on the factor of safety under symmetrical slip surface condition and asymmetrical condition are discussed,respectively.Then the effect of the volume of slip mass,asymmetrical extent and parameters of soils on the factor of safety are also analyzed.Finally,the relative errors of factor of safety under 3D earthquake and only the horizontal earthquake are studied.Results show that the horizontal earthquake is uppermost influencing factors,the next is the vertical earthquake,and the lateral earthquake is the weakest.The 3D solution has a better agreement with practice and a higher degree of accuracy.
引文
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